A saddle point theorem for non-smooth functionals and problems at resonance

被引：0

作者：

Niculescu, CP ^{[1
]}

Radulescu, V ^{[1
]}

机构：

[1] UNIV CRAIOVA,DEPT MATH,R-1100 CRAIOVA,ROMANIA

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 1996年 / 21卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a saddle point theorem for locally Lipschitz functionals with arguments based on a version of the mountain pass theorem for such kind of functionals. This abstract result is applied to solve two different types of multivalued semilinear elliptic boundary value problems with a Laplace-Beltrami operator on a smooth compact Riemannian manifold.

引用

页码：117 / 131

页数：15

共 50 条

[1] A three critical point theorem for non-smooth functionals with application in differential inclusions
GHASEM A AFROUZI
MOHAMMAD B GHAEMI
SHIRIN MIR
Proceedings - Mathematical Sciences, 2015, 125 : 521 - 535
[2] A three critical point theorem for non-smooth functionals with application in differential inclusions
Afrouzi, Ghasem A.
Ghaemi, Mohammad B.
Mir, Shirin
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2015, 125 (04): : 521 - 535
[3] Nonlocal energy functionals and determinantal point processes on non-smooth domains
Lin, Zhengjiang
MATHEMATISCHE ZEITSCHRIFT, 2024, 307 (03)
[4] On Palais' principle for non-smooth functionals
Squassina, Marco
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (11) : 3786 - 3804
[5] Topological characteristics of non-smooth functionals
Klimov, VS
IZVESTIYA MATHEMATICS, 1998, 62 (05) : 969 - 984
[6] Adjoint Extremal Problem for Non-Smooth Functionals
Baran, Inna
Orlov, Igor
2017 CONSTRUCTIVE NONSMOOTH ANALYSIS AND RELATED TOPICS (DEDICATED TO THE MEMORY OF V.F. DEMYANOV) (CNSA), 2017, : 23 - 26
[7] ON MARTINGALE REPRESENTATIONS OF NON-SMOOTH BROWNIAN FUNCTIONALS
Berikashvili V.
Jokhadze V.
Namgalauri E.
Purtukhia O.
Journal of Mathematical Sciences, 2024, 280 (3) : 480 - 487
[8] Coerciveness property for a class of non-smooth functionals
Motreanu, D
Motreanu, VV
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2000, 19 (04): : 1087 - 1093
[9] Minimax Problem of Simultaneous Optimization of Smooth and Non-Smooth Functionals
Mizintseva, Maria
Ovsyannikov, Dmitri
2017 CONSTRUCTIVE NONSMOOTH ANALYSIS AND RELATED TOPICS (DEDICATED TO THE MEMORY OF V.F. DEMYANOV) (CNSA), 2017, : 218 - 221
[10] Linear elliptic boundary value problems with non-smooth data: Campanato spaces of functionals
Griepentrog, JA
MATHEMATISCHE NACHRICHTEN, 2002, 243 : 19 - 42

← 1 2 3 4 5 →